S000874


Binomial(n,k) with n >= 4 and 2 <= k <= floor(n/2), sorted.

6, 10, 15, 20, 21, 28, 35, 36, 45, 55, 56, 66, 70, 78, 84, 91, 105, 120, 120, 126, 136, 153, 165, 171, 190, 210, 210, 220, 231, 252, 253, 276, 286, 300, 325, 330, 351, 364, 378, 406, 435, 455, 462, 465, 495, 496, 528, 560, 561, 595, 630, 666, 680, 703, 715

1

S000874

Some numbers (120, 210, 1540, 3003, 7140, 11628, 24310) appear more than once. See A003015.

T. D. Noe, Plot of 1000 terms

T. D. Noe, Table of 1000 terms

Eric W. Weisstein, MathWorld: Binomial Coefficient

(Mma) nn = 100; Sort[Select[Flatten[Table[Binomial[n, k], {n, 4, nn}, {k, 2, n/2}]], # <= Binomial[nn, 2] &]]

Cf. A003015, A006987, A182237.

nonn

T. D. Noe, May 06 2016

© Tony D Noe 2014-2016